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In Estimating the Population Mean μ\mu When the Population Size N Is Small, the Confidence Interval

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In estimating the population mean μ\mu when the population size N is small, the confidence interval estimator of μ\mu is xˉ±tω/2snNnN1\bar { x } \pm t _ { \omega / 2 } \cdot \frac { s } { \sqrt { n } } \sqrt { \frac { N - n } { N - 1 } } .


Definitions:

Directional Hypothesis

A hypothesis that specifies the direction of the expected difference or relationship between variables.

T Statistic Value

A value derived from a T-test used to determine if there is a significant difference between the means of two groups.

Degrees Of Freedom

The number of independent values or quantities that can vary in the analysis without breaking any constraints.

Obtained Value

The actual value measured or calculated from a statistical test, which is compared against the critical value to draw conclusions.

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